On the controlled propagation of wave signals in a sinusoidally forced two-dimensional continuous Frenkel-Kontorova model

DOI10.1016/j.wavemoti.2010.06.005zbMath1229.82169OpenAlexW1995311604MaRDI QIDQ654851

Jorge Eduardo Macías-Díaz

Publication date: 22 December 2011

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.wavemoti.2010.06.005

zbMATH Keywords

nonlinear supratransmission\((2 + 1)\)-dimensional Frenkel-Kontorova equationcontinuous nonlinear systemsintrinsic nonlinear modesnonlinear bistabilitynonlinear infratransmission

Mathematics Subject Classification ID

Statistical mechanics of superconductors (82D55) Lattice dynamics and infinite-dimensional dissipative dynamical systems (37L60) Higher-order nonlinear hyperbolic equations (35L75) Second-order semilinear hyperbolic equations (35L71)

Related Items (6)

Nonlinear supratransmission of multibreathers in discrete nonlinear Schrödinger equation with saturable nonlinearities ⋮ Feedback control of the sine-Gordon antikink ⋮ A skew symmetry-preserving computational technique for obtaining the positive and the bounded solutions of a time-delayed advection-diffusion-reaction equation ⋮ Control methods for localization of nonlinear waves ⋮ The Riemann-Volterra time-domain technique for waveguides: a case study for elliptic geometry ⋮ Supratransmission in transversely connected nonlinear pendulum pairs

Cites Work

• Discrete breathers in two-dimensional nonlinear lattices
• Perturbation theory for the double sine-Gordon equation
• Propagation of fluxons on Josephson lines with impurities
• Modeling light bullets with the two-dimensional sine-Gordon equation
• On the exchange of energy in coupled Klein --- Gordon equations
• BISTABLE TRANSMITTING NONLINEAR DIRECTIONAL COUPLERS

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